What happen to Jonah after Nineveh?

Apart from the book named after him, Jonah is only mentioned once more in the Old Testament, in 2 Kings 14:25.

He [Jeroboam II, king of Israel] restored the border of Israel from Lebo-hamath as far as the Sea of the Arabah, according to the word of the Lord, the God of Israel, which he spoke by his servant Jonah the son of Amittai, the prophet, who was from Gath-hepher.

This enables us to date Jonah (to around 800-780 BC), and tells us where he lived — in Gath-hepher (probably about 5km north east of Nazareth). However, the Bible does not tell us any more than that, and there are no other surviving historical records or reliable traditions about him.